Compute mode of the following distribution by inspection method- - 1 2 3 4 5 6 7 8 9 10 f 4 6 8 12 17 11 7 6 5 3

The correct option is B 5 #967; #967;1122334455667788991010ff44668812121717111177665 #160; #160;353Mode is the highest occurring figure in a seri ...

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Byju's Answer

Standard X

Mathematics

Finding Mode for Grouped Data Wen Class Intervals Are Not Given

Compute mode ...

Question

Compute mode of the following distribution by inspection method.
$χ$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$
$f$ $4$ $6$ $8$ $12$ $17$ $11$ $7$ $6$ $5$ $3$

15.09

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Solution

The correct option is B $5$
χ 1 2 3 4 5 6 7 8 9 10
f 4 6 8 12 17 11 7 6 5 3 3

Mode is the highest occurring figure in a series. It is the value in a series of observation that repeats maximum number of times and which represents the whole series as most of the values in the series revolves around this value.
Since, 5 is occurring highest number of times. Therefore, 5 is the mode of the series.

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Similar questions

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Q. The mode of the following distribution is __________.

Size	$2$	$3$	$4$	$5$	$6$	$7$	$8$
Frequency	$10$	$12$	$25$	$20$	$25$	$15$	$11$

Q. Compute mode from the following series:

Size of items	:	2	3	4	5	6	7
Frequency	:	3	8	10	12	16	14
Size of items	:	8	9	10	11	12	13
Frequency	:	10	8	17	5	4	1

Q. Twelve entries were submitted in a flower show competition. They were ranked by two judges as under:

Entries	:	1	2	3	4	5	6	7	8	9	10	11	12
Judge A	:	7	8	2	1	9	3	12	11	4	10	6	5
Judge B	:	6	4	1	3	11	2	12	10	5	9	7	8

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$χ$	$1$	$2$	$3$	$4$	$5$	$6$	$7$	$8$	$9$	$10$
$f$	$4$	$6$	$8$	$12$	$17$	$11$	$7$	$6$	$5$	$3$

Compute mode of the following distribution by inspection method.χ12345678910f4681217117653

Compute mode of the following distribution by inspection method.
$χ$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$
$f$ $4$ $6$ $8$ $12$ $17$ $11$ $7$ $6$ $5$ $3$